138013130599406712
138,013,130,599,406,712 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138013130599406712 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
138013130599406712 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138013130599406712:
23 × 33 × 13 × 372 × 61 × 67 × 127 × 2632
(2 × 2 × 2 × 3 × 3 × 3 × 13 × 37 × 37 × 61 × 67 × 127 × 263 × 263)See below for interesting mathematical facts about the number 138013130599406712 from the Numbermatics database.
Names of 138013130599406712
- Cardinal: 138013130599406712 can be written as One hundred thirty-eight quadrillion, thirteen trillion, one hundred thirty billion, five hundred ninety-nine million, four hundred six thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 1.38013130599406712 × 1017
Factors of 138013130599406712
Divisors of 138013130599406712
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 61 67 72 74 78 104 108 111 117 122 127 134 148 156 183 201 216 222 234 244 254 263 268 296 312 333 351 366 381 402 444 468 481 488 508 526 536 549 603 666 702 732 762 789 793 804 871 888 936 962 999 1016 1052 1098 1143 1206 1332 1369 1404 1443 1464 1524 1578 1586 1608 1647 1651 1742 1809 1924 1998 2104 2196 2257 2286 2367 2379 2412 2479 2613 2664 2738 2808 2886 3048 3156 3172 3294 3302 3419 3429 3484 3618 3848 3996 4087 4107 4329 4392 4514 4572 4699 4734 4758 4824 4953 4958 5226 5476 5772 6312 6344 6588 6604 6771 6838 6858 6968 7101 7137 7236 7437 7747 7839 7992 8174 8214 8509 8658 9028 9144 9398 9468 9516 9731 9906 9916 10257 10452 10952 11544 12261 12321 12987 13176 13208 13542 13676 13716 14097 14202 14274 14472 14859 14874 15494 15678 16043 16348 16428 17018 17316 17621 17797 18056 18796 18936 19032 19462 19812 19832 20313 20514 20904 21411 22311 23241 23517 24522 24642 25527 25974 27084 27352 27432 28194 28404 28548 29193 29341 29718 29748 30771 30988 31356 32086 32227 32696 32856 33401 34036 34632 35242 35594 36783 36963 37592 38924 39624 40626 41028 42291 42822 44577 44622 46482 47034 48129 49044 49284 51054 51948 52863 53131 53391 54168 56388 56808 57096 58386 58682 59436 59496 60939 61087 61542 61976 62712 64172 64454 66802 66933 68072 69169 69723 70484 71188 73566 73926 76581 77848 81252 82056 83509 84582 85644 87579 88023 89154 89244 91723 92313 92964 94068 96258 96681 98088 98568 100203 100711 102108 103896 105726 106262 106782 110349 110617 112776 116772 117364 118872 121878 122174 123084 126503 126873 128344 128908 133604 133866 138338 139446 140968 142376 144387 147132 147852 151219 153162 158589 159393 160173 162504 167018 169164 171288 173863 175158 176046 178308 178488 183261 183446 184626 185928 188136 192516 193362 200406 201422 204216 207507 208559 209169 211452 212524 213564 220698 221234 229073 229743 233544 234728 243756 244348 246168 250527 253006 253746 257816 262737 264069 267208 267732 275169 276676 278892 286639 288774 290043 294264 295704 300609 302133 302438 306324 314833 317178 318786 320346 331851 334036 338328 347726 350316 352092 356616 360047 366522 366892 369252 379509 385032 386724 400812 402844 415014 417118 418338 422904 425048 427128 433161 434213 441396 442468 453657 458146 459486 475767 478179 480519 487512 488696 501054 506012 507492 519049 521589 525474 528138 535464 549783 550338 553352 557784 573278 577548 580086 593591 601218 604266 604876 612648 622521 625677 629666 634356 637572 640692 651977 663702 668072 687219 695452 700632 704184 720094 733044 733784 738504 751581 759018 773448 792207 801624 805688 825507 830028 834236 836676 859917 866322 868426 870129 882792 884936 899197 901827 906399 907314 916292 918972 944499 951534 956358 961038 995553 1002108 1012024 1014984 1038098 1043178 1050948 1056276 1074881 1080141 1085617 1099566 1100676 1138527 1146556 1155096 1160172 1187182 1192399 1202436 1208532 1209752 1235837 1245042 1251354 1259332 1268712 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4485168847272 4639408719894 4644092152884 4703763695832 4727610406584 4834423798494 4858932917878 4895124161148 5031099832291 5045814953181 5095744003818 5313510841588 5406555043656 5600727643836 5628135168396 5868653765336 5938347343032 6185878293192 6445898397992 6602235486003 6727753270908 6794325338424 6959113079841 6966138229326 7091415609876 7251635697741 7288399376817 7342686241722 7643616005727 7754853660696 7832309778072 7970266262382 8109832565484 8401091465754 8442202752594 8602700903784 8802980648004 8907521014548 9278817439788 9288184305768 9536562368671 9668847596988 9717865835756 9790248322296 10062199664582 10091629906362 10191488007636 10449207343989 10474584896737 10627021683176 11201455287672 11256270336792 11955399393573 12601637198631 13204470972006 13455506541816 13918226159682 13932276458652 14182831219752 14503271395482 14576798753634 14685372483444 15093299496873 15287232011454 15940532524764 16219665130968 16802182931508 16884405505188 17268910235161 17605961296008 17815042029096 18557634879576 19073124737342 19337695193976 19435731671512 19806706458009 20124399329164 20183259812724 20382976015272 20898414687978 20949169793474 21754907093223 21865198130451 23910798787146 25203274397262 26408941944012 27836452319364 27864552917304 28609687106013 29006542790964 29153597507268 29370744966888 30186598993746 30574464022908 31423754690211 31881065049528 33604365863016 33768811010376 34537820470322 35866198180719 38146249474684 39613412916018 40248798658328 40366519625448 41796829375956 41898339586948 43509814186446 43730396260902 45279898490619 47821597574292 49149975284689 50406548794524 51806730705483 52817883888024 55672904638728 57219374212026 58013085581928 58307195014536 60373197987492 61148928045816 62847509380422 65595594391353 69075640940644 71732396361438 76292498949368 79226825832036 83593658751912 83796679173896 85829061318039 87019628372892 87460792521804 90559796981238 94271264070633 95643195148584 98299950569378 100813097589048 103613461410966 114438748424052 120746395974984 125695018760844 131191188782706 135839695471857 138151281881288 143464792722876 147449925854067 155420192116449 158453651664072 171658122636078 174039256745784 174921585043608 181119593962476 188542528141266 196599901138756 207226922821932 228877496848104 251390037521688 257487183954117 262382377565412 271679390943714 282813792211899 286929585445752 294899851708134 310840384232898 343316245272156 362239187924952 377085056282532 393199802277512 414453845643864 442349777562201 466260576349347 514974367908234 524764755130824 543358781887428 565627584423798 589799703416268 621680768465796 638949678700957 686632490544312 754170112565064 884699555124402 932521152698694 1029948735816468 1086717563774856 1131255168847596 1179599406832536 1243361536931592 1277899357401914 1327049332686603 1769399110248804 1865042305397388 1916849036102871 2059897471632936 2262510337695192 2555798714803828 2654098665373206 3538798220497608 3730084610794776 3833698072205742 5111597429607656 5308197330746412 5750547108308613 7667396144411484 10616394661492824 11501094216617226 15334792288822968 17251641324925839 23002188433234452 34503282649851678 46004376866468904 69006565299703356 138013130599406712
- Sum of all divisors σ(n): 442843103427379200
- Sum of proper divisors (its aliquot sum) s(n): 304829972827972488
- 138013130599406712 is an abundant number, because the sum of its proper divisors (304829972827972488) is greater than itself. Its abundance is 166816842228565776
Bases of 138013130599406712
- Binary: 1111010100101001000110110000001111011011110011100011110002
- Hexadecimal: 0x1EA523607B79C78
- Base-36: 11QXKKX1GA60
Squares and roots of 138013130599406712
- 138013130599406712 squared (1380131305994067122) is 19047624217848893291545526390650944
- 138013130599406712 cubed (1380131305994067123) is 2628822248786401434034577475395500891024029882736128
-
The
square root of 138013130599406712 is 371501185.1924657211 -
The
cube root of 138013130599406712 is 516781.3146518755
Scales and comparisons
How big is 138013130599406712?- 138,013,130,599,406,712 seconds is equal to 4,388,390,650 years, 21 weeks, 5 days, 9 hours, 25 minutes, 12 seconds.
-
To count from 1 to 138,013,130,599,406,712 would take you about thirteen billion, one hundred sixty-five million, one hundred seventy-one thousand, nine hundred fifty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138013130599406712 cubic inches would be around 43065.1 feet tall.
Recreational maths with 138013130599406712
- 138013130599406712 backwards is 217604995031310831
- The number of decimal digits it has is: 18
- The sum of 138013130599406712's digits is 63
- More coming soon!
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"Number 138013130599406712 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138013130599406712 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138013130599406712/
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Numbermatics. 2024. "Number 138013130599406712 - Facts about the integer". https://numbermatics.com/n/138013130599406712/
The information we have on file for 138013130599406712 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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